Answer:
The radius of the atom is 177.1
Explanation:
A Body-centered cubic lattice (bcc), like all lattices, has lattice points at the eight corners of the unit cell plus an additional points at the center of the cell.
For a body-centered cubic (bcc) unit cell, the formula below can be used to obtain the radius of the atom
a = 4r/√3
where;
a is lattice constant = 409
r is the radius of metal M = ?
From the equation above, make 'r' the subject of formula
r = (a√3)/4
r = (409*√3)/4
r = 177.1
Therefore, the radius of the atom is 177.1